The tame-wild principle for discriminant relations for number fields

John W. Jones, David P. Roberts

    Research output: Contribution to journalArticlepeer-review

    3 Scopus citations

    Abstract

    Consider tuples (K1,..., Kr)of separable algebras over a common local or global number field F, with the Ki related to each other by specified resolvent constructions. Under the assumption that all ramification is tame, simple group-theoretic calculations give best possible divisibility relations among the discriminants of Ki =F. We show that for many resolvent constructions, these divisibility relations continue to hold even in the presence of wild ramification.

    Original languageEnglish (US)
    Pages (from-to)609-645
    Number of pages37
    JournalAlgebra and Number Theory
    Volume8
    Issue number3
    DOIs
    StatePublished - 2014

    Keywords

    • Discriminant
    • Number field
    • Ramification

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